1.
Choose one of the shapes on Labsheet 3.3. Divide each small figure within the shape in the same way you divided the original shape, How many of these new shapes does it take to cover the original shape? --- Shown above, i divided shape D. It takes 16 small shapes to cover the big one.
2. For the shape you subdivided in question 1, what is the scale factor from the smallest shape to the original shape? --- 0.25
3.
How does the scale factor from question 2 relate to the number of the smallest shapes it takes to cover the original shape? What is the relationship between the scale factor and the areas of the large and small figures? --- 0.25 = 1/4 by squaring it we get (1/4)2 = 1/16 so we get 16 smaller shapes from one larger shape.
F.U.
1.
Choose one of the shapes on Labsheet 3.3. Divide each small figure within the shape in the same way you divided the original shape, How many of these new shapes does it take to cover the original shape? --- Shown above, i divided shape D. It takes 16 small shapes to cover the big one.
2. For the shape you subdivided in question 1, what is the scale factor from the smallest shape to the original shape? --- 0.25
3.
How does the scale factor from question 2 relate to the number of the smallest shapes it takes to cover the original shape? What is the relationship between the scale factor and the areas of the large and small figures? --- 0.25 = 1/4 by squaring it we get (1/4)2 = 1/16 so we get 16 smaller shapes from one larger shape.